SSC CGL Tier II 1 Dec 2016 Paper 1

Question : 80 of 100

Marks: +1, -0

A and B are the centres of two circles with radii 11 cm and 6 cm respectively. A common tangent touches these circles at P and Q respectively. If AB = 13 cm., then the length of PQ is

13 cm.
17 cm.
8.5 cm.
12 cm.

Validate

Solution:

(4)

{PQ}=√{( {AB})^{2}- (r_{1}-r_{2} )^{2}}

=√{(13)^{2}-(11-6)^{2}}

=√{169-25}=√{144}=12 {cm}

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